In a certain code language, 'FARE' is coded as '4628' and 'RUST' is coded as '3547'. What is the code for 'R' in that language?

Appeared in: Bihar NHM CHO-2025

Explanation

The problem presents a substitution cipher where letters in a word are assigned specific digits, but not necessarily in the same order.
The key to solving this is to find the common letter between the two given words ('FARE' and 'RUST'), which is 'R'.
Next, identify the common digit between their respective codes ('4628' and '3547'), which is '4'.
By matching the common letter to the common digit, we can deduce that the code for 'R' is '4'.

Option B: The digit '2' is part of the code for 'FARE' but is absent from the code for 'RUST'. Since 'R' is in both words, its code must also be in both codes.
Option C: The digit '3' is part of the code for 'RUST' but is absent from the code for 'FARE'. Since 'R' is in both words, its code must also be in both codes.
Option D: The digit '7' is part of the code for 'RUST' but is absent from the code for 'FARE'. Since 'R' is in both words, its code must also be in both codes.

Visual 1: Flowchart - A flowchart illustrating the logical steps: 1. Compare Words -> 2. Find Common Letter ('R') -> 3. Compare Codes -> 4. Find Common Digit ('4') -> 5. Match Common Letter to Common Digit.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests logical reasoning skills, specifically the ability to solve coding-decoding problems by identifying common elements as background academic context rather than a clinical decision trigger.
This is a general intelligence and reasoning question, not a clinical one.
These types of questions are included in nursing entrance exams to assess a candidate's problem-solving and logical deduction abilities, which are essential skills for making sound clinical judgments.
What if the words were 'FEAR' and 'TEAR'? The common letters would be 'E', 'A', and 'R'. You would then need to look for three common digits in their codes to find the solution, or the question would provide more information.

How to Approach the Question

First, carefully read the question and identify the given words and their corresponding codes.
Analyze the relationship between the words. Look for any shared or common letters.
In this case, compare 'FARE' and 'RUST'. The only common letter is 'R'.
Next, analyze the relationship between the codes. Look for any shared or common digits.
Compare '4628' and '3547'. The only common digit is '4'.
Logically conclude that the common letter must correspond to the common digit. Therefore, 'R' is coded as '4'.

Concept Tested & Keywords

Concept Tested: This question tests logical reasoning skills, specifically the ability to solve coding-decoding problems by identifying common elements.
Stem keywords: code language, FARE, 4628, RUST, 3547
Lead-in keywords: What is the code for

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Practise the full Bihar NHM CHO-2025

Attempt every question from this paper in a timed mock, then review the full solution for each one.